A company is preparing to launch a new web site to sell its products. From past experience, they know that purchases at the site will occur as a Poisson process with on average 30 purchases every 10 minutes. a) What is the expected time in minutes before the first purchase after the site opens? Give your answer to four decimal places.
b) What is the probability that more than 0.14 minutes pass before the first purchase? Give your answer to four decimal places.
c) What is the expected time in minutes until the fifth purchase? Give your answer to four decimal places.

Croy inc. has the following projected sales for the next five months: month sales in units april 3,850 may 3,875 june 4,260 july 4,135 august 3,590 croy’s finished goods inventory policy is to have 60 percent of the next month’s sales on hand at the end of each month. direct material costs $2.50 per pound, and each unit requires 2 pounds. raw materials inventory policy is to have 50 percent of the next month’s production needs on hand at the end of each month. raw materials on hand at march 31 totaled 3,741 pounds. 1. determine budgeted production for april, may, and june. 2. determine the budgeted cost of materials purchased for april, may, and june. (round your answers to 2 decimal places.)